A business has two servers available to assist customers. Customers wait in one
ID: 3205278 • Letter: A
Question
A business has two servers available to assist customers. Customers wait in one line for service. When a customer reaches the front of the line, he/she selects one of the two servers, whichever is available first. If both servers are available, the customer selects Server #1. Each server assists one customer at a time. When a customer completes a service, she/he exits the system. The inter-arrival times shown below are for consecutive arrivals of customers. The service times are for consecutive services provided by the respective servers. Create an event calendar to simulate the system through the end of service for the first five customers who enter the system. Calculate the idle time experienced by each server during the simulation.
Inter-arrival times: 53, 13, 35, 25, 28
Server #1 service times: 52, 39, 59, 49, 47
Server #2 service times: 48, 53, 50, 48, 46
Explanation / Answer
We can draw the below table from the given data
For server #1, the idle time is 53 and server #2 idle time is 110.
Customer # Inter arrival time In time Server 1 Completion time Server 2 Completion time Idle time Server 1 Idle time server 2 1 0 2 53 53 52 105 53 3 13 66 53 119 0 66 4 35 101 59 164 0 0 5 25 126 48 174 0 7 6 28 154 47 211 0 37 53 110Related Questions
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